There would be only one reason why I would consult with James Goold and I wouldn't disclose any details just generic information. It would be so that when you got in litigation with Spain, that JG would have a conflict of interest and not be able to represent Spain.
Sorry, as entertaining as that may appear, that would not qualify as a conflict. One would have to be a client for there to be a conflict.
In reality, you can speak with Goold and even hire him as the mediator. I am sure you are aware, Spain has denied it has abandoned its shipwrecks and denied recovery.
You stated you wanted a proper archeological recovery. Playing outhouse lawyer games that it is unidentified, when all of the facts are there, serves no ones interest, reduces the nature of the recovery in every way, and as we have seen in several cases, it does not work.
As we have seen, the State of Florida, US Federal government, Spain, Peru/ et al, decendents of the crew/passengers, and a host of others will make claims. I am sure you also are aware, that Goold is representing Spain in its claims against the State of Florida, for not upholding the provisions under the Atocha lawsuit, and adminstration of the archaeological provisions set forth for the wrecks in its waters.
From my perspective, IF you decide to negotiate and team with Spain, (there are teams all over that do this), you will have the greates chance of sucess. Put together a proper plan, with a proper team, and they will work with you. Play games, and they will slap you down hard and just take it away, giving you $300 for the buckets.
Call is yours to make.